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Finding the Fourth Proportional to 338.40, 463.94 and 332.23

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Solution

The fourth proportional to 338.40, 463.94 and 332.23 is: 455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.40 : 463.94 = 332.23 : x
  2. Step 2: Convert to fraction form
    338.40/463.94 = 332.23/x
  3. Step 3: Cross multiply
    338.40x = 463.94 × 332.23
  4. Step 4: Simplify right side
    338.40x = 154,134.79
  5. Step 5: Solve for x
    x = 154,134.79/338.40
  6. Step 6: Final answer
    x = 455.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.